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Journal of Biological Dynamics Volume 14, 2020 - Issue 1

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A Lyapunov–Schmidt method for detecting backward bifurcation in age-structured population models

Maia Martchevaa Department of Mathematics, University of Florida, Gainesville, FL, USACorrespondence[email protected] [email protected]

Hisashi Inabab Graduate School of Mathematical Sciences, The University of Tokyo, Meguro-ku Tokyo, Japan

Pages 543-565 | Received 26 Dec 2019, Accepted 14 Jun 2020, Published online: 02 Jul 2020

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https://doi.org/10.1080/17513758.2020.1785024
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Citations (7)

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Articles from other publishers (7)

Junyuan Yang, Meijia Gong & Zhen Jin. (2023) Existence of the backward bifurcation of a non-markovian SIS-network model with saturation treatment function. Nonlinear Analysis: Real World Applications 73, pages 103882.
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Manoj Kumar & Syed Abbas. (2023) Modelling and prevention of crime using age-structure and law enforcement. Journal of Mathematical Analysis and Applications 519:2, pages 126849.
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Linlin Wang, Juping Zhang & Zhen Jin. (2023) Dynamical analysis and optimal control for an age-structure HIV transmission model. Discrete and Continuous Dynamical Systems - B 0:0, pages 0-0.
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Junyuan Yang, Miao Zhou & Xuezhi Li. (2022) Backward bifurcation of an age-structured epidemic model with partial immunity: The Lyapunov–Schmidt approach. Applied Mathematics Letters 133, pages 108292.
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Manoj Kumar, Syed Abbas & Abdessamad Tridane. (2022) A novel method for basic reproduction ratio of a diffusive size-structured population model with delay. Nonlinear Dynamics 109:4, pages 3189-3198.
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Xue-Zhi Li, Shasha Gao, Yi-Ke Fu & Maia Martcheva. (2021) Modeling and Research on an Immuno-Epidemiological Coupled System with Coinfection. Bulletin of Mathematical Biology 83:11.
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Kento Okuwa, Hisashi Inaba & Toshikazu Kuniya. (2021) An age-structured epidemic model with boosting and waning of immune status. Mathematical Biosciences and Engineering 18:5, pages 5707-5736.
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